Pls help ASAP. Pls show all work. 13. Sketch a graph of a rational function that satisfies the following conditionsf(0) = 0, f(-4) = 2, f(4) = -2f(x) is undefined for x =± 2-8 -6 48++6y68X1f'(-4) = f'(0) = f '(4) = 0f'(x) < 0 for x < -4, x > 4f'(x) > 0 for -4 < x < -2, -2 0 for x < -2, 0 23

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Answered: 13. Sketch a graph of a rational…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 51E

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13. Sketch a graph of a rational function that satisfies the following conditions f(0) = 0, f(-4) = 2, f(4) = -2 f(x) is undefined for x = ± 2 -2 8 6+ + 6 y 4 6 8 X 1 f'(-4) = f'(0) = f'(4) = 0 f'(x) < 0 for x <-4, x>4 f'(x) > 0 for -4 < x < -2,-2 < x < 0 and 0 0 for x < -2, 02